Under the pressure of potential contingencies such as sudden accidents or congested traffic, a demand for a fast search algorithm seems natural as it has become integral to navigation systems which require real-time road information. This paper therefore deals with a newly devised algorithm based on a transit time concept that researches the shortest path real-time in Navigation system. A distance information-based Dijkstra’s algorithm making it unlikely for it to offer a speedy information in real-time road situation. It is also rendered obsolete in the face of changing vehicle speeds subject to road conditions. The proposed algorithm thus disregards calculations of all nodes but rather incorporates both the Boruvka algorithm of the minimum spanning tree and a modified Kruskal algorithm in order to selectively determine the shortest path to a desired destination. To verify its applicability, I test the proposed algorithm on a case in which an accident occurs on both the shortest path and a specific road. The test results prove that the algorithm has been successful in expeditiously obtaining a detour that results in the shortest transit time.